dina computed the mass of 1,000 protons in grams. the calculator displayed 1.76e -21. what is the mass of 1,000 protons in scientific notation
The mass of 1,000 protons in grams is 1.76e-21 g.
To convert the mass of 1,000 protons from standard notation to scientific notation, we can write it as follows:
1.76e-21
This means that the mass of 1,000 protons is 1.76 times 10 to the power of -21 grams.
To calculate the mass of 1,000 protons in grams, you can divide the given value by Avogadro's number, which represents the number of particles (atoms, molecules, ions) in one mole of a substance. Avogadro's number is approximately 6.022 × 10^23.
Here's how to perform the calculation:
1. Start with the given value: 1.76e-21 grams.
2. Divide this value by Avogadro's number: 1.76e-21 / (6.022 × 10^23).
3. Simplify the division by moving the decimal point in the divisor to the right until it becomes a whole number: 1.76e-21 / (6.022 × 10^23) ≈ 1.76 / (6.022 × 10^44).
(Note: We made the numerator a whole number to simplify the calculation. The exponent 44 represents the number of decimal places moved in the divisor.)
4. Divide the numerator by the divisor: 1.76 / (6.022 × 10^44) ≈ 2.92 × 10^-45 grams.
Therefore, the mass of 1,000 protons in scientific notation is approximately 2.92 × 10^-45 grams.